Acertain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hr. a random sample of 19 pens is selected, the writing lifetime of each is determined, and a normal probability plot of the resulting data support the use of a one-sample t test. the relevant hypotheses are h0: μ = 10 versus ha: μ < 10. (a) if t = −2.5 and α = 0.05 is selected, what conclusion is appropriate? reject fail to reject (b) if t = −1.83 and α = 0.01 is selected, what conclusion is appropriate? reject fail to reject (c) if t = 0.57, what conclusion is appropriate? reject fail to reject

Fail to reject H0 in all three cases

Step-by-step explanation:

Given that a certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hr.

(Right tailed test at 1% sign level)

n = 19

a) t =-2.5 , df = 18

p = 0.01154

p >1% hence Fail to reject H0

b) t = −1.83

p = 0.041931

p >1%  Fail to reject H0

c) t = 0.57

p = 0.287>1%  Fail to reject H0

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.